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Finding the Third Proportional to 253,595.25 and 379,596.75

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Solution

The third proportional to 253,595.25 and 379,596.75 is: 568,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,595.25 : 379,596.75 = 379,596.75 : x
  2. Step 2: Convert to fraction form
    253,595.25/379,596.75 = 379,596.75/x
  3. Step 3: Cross multiply
    253,595.25x = 379,596.75 × 379,596.75
  4. Step 4: Simplify right side
    253,595.25x = 144,093,692,610.56
  5. Step 5: Solve for x
    x = 144,093,692,610.56/253,595.25
  6. Step 6: Final answer
    x = 568,203.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.